document.write( "Question 1046471: The perimeter of the rectangle is 54. Find x. The length is x+4 and the width is 2(x-5) \n" ); document.write( "

Algebra.Com's Answer #661903 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "The perimeter of the rectangle is $\"P=2L%2B2W\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"P=54\"$ , the length is $\"L=x%2B4\"$ and the width is $\"W=2%28x-5%29\"$ , we have\r
\n" ); document.write( "\n" ); document.write( " $\"2%28x%2B4%29%2B2%282%28x-5%29%29=54\"$ ......both sides divide by $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B4%29%2B%282%28x-5%29%29=27\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2B4%2B2x-10=27\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3x-6=27\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3x=27%2B6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3x=33\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=33%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=11\"$ \r
\n" ); document.write( "\n" ); document.write( "so, the length is $\"L=x%2B4=11%2B4=highlight%2815%29\"$ and the width is $\"W=2%28x-5%29=2%2811-5%29=2%2A6=highlight%2812%29\"$ \r
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